Finding the Third Proportional to 83,640 and 178,728

Step by Step Solution

1. Step 1: Write the proportion equation
   83,640 : 178,728 = 178,728 : x
2. Step 2: Convert to fraction form
   83,640/178,728 = 178,728/x
3. Step 3: Cross multiply
   83,640x = 178,728 × 178,728
4. Step 4: Simplify right side
   83,640x = 31,943,697,984
5. Step 5: Solve for x
   x = 31,943,697,984/83,640
6. Step 6: Final answer
   x = 381,918.91